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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 54390.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54390.bb1 | 54390bi1 | \([1, 0, 1, -104904448, 412566099278]\) | \(2605609534839039045974276809/7178421592800000000000\) | \(351742658047200000000000\) | \([]\) | \(8781696\) | \(3.3911\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54390.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54390.bb do not have complex multiplication.Modular form 54390.2.a.bb
sage: E.q_eigenform(10)