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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 9200.bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9200.bl1 | 9200bl1 | \([0, 0, 0, 3125, 496250]\) | \(2109375/67712\) | \(-108339200000000\) | \([]\) | \(60480\) | \(1.3730\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9200.bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9200.bl do not have complex multiplication.Modular form 9200.2.a.bl
sage: E.q_eigenform(10)