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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 38025bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38025.bb1 | 38025bl1 | \([1, -1, 1, -2506640, 1527921672]\) | \(117161545345/19683\) | \(292621106316798675\) | \([]\) | \(943488\) | \(2.3589\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38025bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38025bl do not have complex multiplication.Modular form 38025.2.a.bl
sage: E.q_eigenform(10)