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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 51376.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51376.bb1 | 51376c1 | \([0, -1, 0, -225, -7411]\) | \(-1024/19\) | \(-23477598976\) | \([]\) | \(34560\) | \(0.67100\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51376.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 51376.bb do not have complex multiplication.Modular form 51376.2.a.bb
sage: E.q_eigenform(10)