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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 15030.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15030.h1 | 15030e1 | \([1, -1, 0, 216, -3920]\) | \(1524845951/9739440\) | \(-7100051760\) | \([]\) | \(10752\) | \(0.57207\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15030.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15030.h do not have complex multiplication.Modular form 15030.2.a.h
sage: E.q_eigenform(10)