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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 388816b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 388816.b1 | 388816b1 | \([0, -1, 0, -704, -6976]\) | \(-9434056897/24301\) | \(-99536896\) | \([]\) | \(229376\) | \(0.41083\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388816b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388816b do not have complex multiplication.Modular form 388816.2.a.b
sage: E.q_eigenform(10)