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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 6240.be
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 6240.be1 | 6240bd1 | \([0, 1, 0, -93965, -11254725]\) | \(-22400965661211136/321826171875\) | \(-1318200000000000\) | \([]\) | \(29568\) | \(1.7062\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6240.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6240.be do not have complex multiplication.Modular form 6240.2.a.be
sage: E.q_eigenform(10)