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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 70602.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70602.s1 | 70602t1 | \([1, 1, 1, -2085, 32619]\) | \(596330736961/56899584\) | \(95648200704\) | \([]\) | \(88704\) | \(0.84479\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70602.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70602.s do not have complex multiplication.Modular form 70602.2.a.s
sage: E.q_eigenform(10)