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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 32368b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32368.g1 | 32368b1 | \([0, 1, 0, -232, 1287]\) | \(-299944192/343\) | \(-1586032\) | \([]\) | \(6048\) | \(0.10292\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32368b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32368b do not have complex multiplication.Modular form 32368.2.a.b
sage: E.q_eigenform(10)