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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 13650.bl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 13650.bl1 | 13650bf1 | \([1, 0, 1, -2512101, -1541487152]\) | \(-112205650221491190337/745029571313664\) | \(-11641087051776000000\) | \([]\) | \(514080\) | \(2.4940\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13650.bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13650.bl do not have complex multiplication.Modular form 13650.2.a.bl
sage: E.q_eigenform(10)