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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 430950t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
430950.t1 | 430950t1 | \([1, 1, 0, -991240, -429636800]\) | \(-5098754905446847541/816843141439488\) | \(-17255811362909184000\) | \([]\) | \(14676480\) | \(2.4192\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 430950t do not have complex multiplication.Modular form 430950.2.a.t
sage: E.q_eigenform(10)