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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 31200.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
31200.bb1 | 31200bs1 | \([0, -1, 0, 7792, 2135412]\) | \(261568120/10024911\) | \(-2004982200000000\) | \([]\) | \(129600\) | \(1.6161\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31200.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 31200.bb do not have complex multiplication.Modular form 31200.2.a.bb
sage: E.q_eigenform(10)