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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 7056.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7056.t1 | 7056t1 | \([0, 0, 0, 357, 5866]\) | \(68782/243\) | \(-17777055744\) | \([]\) | \(3840\) | \(0.64973\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7056.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7056.t do not have complex multiplication.Modular form 7056.2.a.t
sage: E.q_eigenform(10)