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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 47432b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47432.y1 | 47432b1 | \([0, 0, 0, -41503, 3195731]\) | \(48384\) | \(163403145989776\) | \([]\) | \(240240\) | \(1.5175\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47432b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47432b do not have complex multiplication.Modular form 47432.2.a.b
sage: E.q_eigenform(10)