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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 71148.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71148.h1 | 71148l1 | \([0, -1, 0, 1258, 74901]\) | \(256/3\) | \(-2578111244016\) | \([]\) | \(145152\) | \(1.0624\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71148.h do not have complex multiplication.Modular form 71148.2.a.h
sage: E.q_eigenform(10)