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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 309168.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.t1 | 309168t1 | \([0, 0, 0, -167841206523, 26466468913615914]\) | \(175118494194706007910209553147321/3389249508578689024\) | \(10120244804623828166639616\) | \([]\) | \(956793600\) | \(4.7842\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 309168.t do not have complex multiplication.Modular form 309168.2.a.t
sage: E.q_eigenform(10)