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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 4032949.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
4032949.a1 | \([0, -1, 1, -72, 240]\) | \(41854210048/4032949\) | \(4032949\) | \([]\) | \(2607040\) | \(0.0049944\) |
Rank
sage: E.rank()
The elliptic curve 4032949.a1 has rank \(4\).
Complex multiplication
The elliptic curves in class 4032949.a do not have complex multiplication.Modular form 4032949.2.a.a
sage: E.q_eigenform(10)