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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 198900.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
198900.h1 | 198900b1 | \([0, 0, 0, -14745, 695225]\) | \(-243164694272/2490891\) | \(-3631719078000\) | \([]\) | \(350208\) | \(1.2281\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 198900.h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 198900.h do not have complex multiplication.Modular form 198900.2.a.h
sage: E.q_eigenform(10)