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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 327990.bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.bs1 | 327990bs1 | \([1, 0, 0, -6355875, -3925014993]\) | \(56763056858641/19548576450\) | \(9779105247606379368450\) | \([]\) | \(35412480\) | \(2.9214\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990.bs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 327990.bs do not have complex multiplication.Modular form 327990.2.a.bs
sage: E.q_eigenform(10)