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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 502507.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
502507.a1 | \([0, -1, 1, -58, 194]\) | \(-21952000000/502507\) | \(-502507\) | \([]\) | \(175664\) | \(-0.11844\) |
Rank
sage: E.rank()
The elliptic curve 502507.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 502507.a do not have complex multiplication.Modular form 502507.2.a.a
sage: E.q_eigenform(10)