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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 50700.bl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 50700.bl1 | 50700bm1 | \([0, 1, 0, -256091333, -1604254410537]\) | \(-769623354048512/15247889631\) | \(-36799325450958739500000000\) | \([]\) | \(14112000\) | \(3.6985\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 50700.bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 50700.bl do not have complex multiplication.Modular form 50700.2.a.bl
sage: E.q_eigenform(10)