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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 76664.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 76664.h1 | 76664d1 | \([0, -1, 0, -4600, -118596]\) | \(-7680477316/2401\) | \(-3365856256\) | \([]\) | \(57600\) | \(0.80404\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76664.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 76664.h do not have complex multiplication.Modular form 76664.2.a.h
sage: E.q_eigenform(10)