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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 3744737.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
3744737.a1 | \([1, 0, 0, -115, 456]\) | \(168288035761/3744737\) | \(3744737\) | \([]\) | \(1703040\) | \(0.048837\) |
Rank
sage: E.rank()
The elliptic curve 3744737.a1 has rank \(4\).
Complex multiplication
The elliptic curves in class 3744737.a do not have complex multiplication.Modular form 3744737.2.a.a
sage: E.q_eigenform(10)