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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 505187.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
505187.a1 | \([0, 0, 1, -19, -47]\) | \(-758550528/505187\) | \(-505187\) | \([]\) | \(143862\) | \(-0.20483\) |
Rank
sage: E.rank()
The elliptic curve 505187.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 505187.a do not have complex multiplication.Modular form 505187.2.a.a
sage: E.q_eigenform(10)