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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 57498.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57498.h1 | 57498l1 | \([1, 0, 1, 45, 2350]\) | \(7599023/1741824\) | \(-2384557056\) | \([]\) | \(50400\) | \(0.47856\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57498.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 57498.h do not have complex multiplication.Modular form 57498.2.a.h
sage: E.q_eigenform(10)