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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 351310.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
351310.h1 | 351310h1 | \([1, -1, 0, -88174, -10738732]\) | \(-11993263569/972800\) | \(-6149421974067200\) | \([]\) | \(7022400\) | \(1.7758\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 351310.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 351310.h do not have complex multiplication.Modular form 351310.2.a.h
sage: E.q_eigenform(10)