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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 254320b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 254320.b1 | 254320b1 | \([0, 0, 0, -52768, 8597308]\) | \(-219633107337216/304487046875\) | \(-22527169676000000\) | \([]\) | \(3265920\) | \(1.8302\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254320b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254320b do not have complex multiplication.Modular form 254320.2.a.b
sage: E.q_eigenform(10)