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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 4077611.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
4077611.a1 | \([0, 0, 1, -19, 102]\) | \(-758550528/4077611\) | \(-4077611\) | \([]\) | \(3371520\) | \(-0.047458\) |
Rank
sage: E.rank()
The elliptic curve 4077611.a1 has rank \(4\).
Complex multiplication
The elliptic curves in class 4077611.a do not have complex multiplication.Modular form 4077611.2.a.a
sage: E.q_eigenform(10)