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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 2275.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2275.h1 | 2275e1 | \([0, 0, 1, 25, 31]\) | \(110592/91\) | \(-1421875\) | \([]\) | \(432\) | \(-0.13161\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2275.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2275.h do not have complex multiplication.Modular form 2275.2.a.h
sage: E.q_eigenform(10)