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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 4680h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4680.a1 | 4680h1 | \([0, 0, 0, -3108, 66692]\) | \(-17790954496/195\) | \(-36391680\) | \([]\) | \(3840\) | \(0.60505\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4680h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4680h do not have complex multiplication.Modular form 4680.2.a.h
sage: E.q_eigenform(10)