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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 436810.bl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 436810.bl1 | 436810bl1 | \([1, -1, 0, 210215, -34572829]\) | \(9261/10\) | \(-1109317264750107710\) | \([]\) | \(17820000\) | \(2.1491\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 436810.bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 436810.bl do not have complex multiplication.Modular form 436810.2.a.bl
sage: E.q_eigenform(10)