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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 74025.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74025.h1 | 74025p1 | \([0, 0, 1, -450075, -116402094]\) | \(-885178441732096/1619296875\) | \(-18444803466796875\) | \([]\) | \(1677312\) | \(2.0127\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74025.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 74025.h do not have complex multiplication.Modular form 74025.2.a.h
sage: E.q_eigenform(10)