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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 271950bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.bl1 | 271950bl1 | \([1, 1, 0, 20800, -7370250]\) | \(541343375/13108878\) | \(-24097599809718750\) | \([]\) | \(2090880\) | \(1.8236\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950bl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 271950bl do not have complex multiplication.Modular form 271950.2.a.bl
sage: E.q_eigenform(10)