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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 382200h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
382200.h1 | 382200h1 | \([0, -1, 0, -12632608, 17382023212]\) | \(-59219479733906/382060497\) | \(-1438369133169696000000\) | \([]\) | \(27371520\) | \(2.8966\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 382200h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 382200h do not have complex multiplication.Modular form 382200.2.a.h
sage: E.q_eigenform(10)