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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 338100.bl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 338100.bl1 | 338100bl1 | \([0, -1, 0, 939499867, -4840961002863]\) | \(194879272239195815936/134287459716796875\) | \(-63195141392885742187500000000\) | \([]\) | \(245306880\) | \(4.2149\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100.bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338100.bl do not have complex multiplication.Modular form 338100.2.a.bl
sage: E.q_eigenform(10)