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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 30345.be
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 30345.be1 | 30345bi1 | \([1, 0, 1, -574683, -167731349]\) | \(-72628961394279272329/24608375505\) | \(-7111820520945\) | \([]\) | \(200880\) | \(1.8232\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30345.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30345.be do not have complex multiplication.Modular form 30345.2.a.be
sage: E.q_eigenform(10)