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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 70560b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 70560.q1 | 70560b1 | \([0, 0, 0, -74088, -9335088]\) | \(-96768/25\) | \(-11619182395699200\) | \([]\) | \(387072\) | \(1.7998\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70560b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70560b do not have complex multiplication.Modular form 70560.2.a.b
sage: E.q_eigenform(10)