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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 70602.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70602.t1 | 70602s1 | \([1, 1, 1, 2220, 75669]\) | \(17555727799/45177216\) | \(-3113658903936\) | \([]\) | \(120960\) | \(1.0810\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70602.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70602.t do not have complex multiplication.Modular form 70602.2.a.t
sage: E.q_eigenform(10)