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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 13872.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13872.bb1 | 13872bg1 | \([0, 1, 0, -1541, 35151]\) | \(-65536/51\) | \(-315140100864\) | \([]\) | \(13824\) | \(0.90506\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13872.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13872.bb do not have complex multiplication.Modular form 13872.2.a.bb
sage: E.q_eigenform(10)