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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 302330h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.h1 | 302330h1 | \([1, 1, 0, -992863, 380375717]\) | \(-383188066235401/2468000\) | \(-697148914532000\) | \([]\) | \(5009760\) | \(2.0324\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302330h do not have complex multiplication.Modular form 302330.2.a.h
sage: E.q_eigenform(10)