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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 70602h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70602.f1 | 70602h1 | \([1, 0, 1, -9363, 347902]\) | \(53992618480921/1037232\) | \(1743586992\) | \([]\) | \(209664\) | \(0.89628\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70602h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 70602h do not have complex multiplication.Modular form 70602.2.a.h
sage: E.q_eigenform(10)