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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 47432v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47432.u1 | 47432v1 | \([0, 1, 0, -7905, 89748371]\) | \(-1024/65219\) | \(-3479833396998269696\) | \([]\) | \(552960\) | \(2.2367\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47432v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47432v do not have complex multiplication.Modular form 47432.2.a.v
sage: E.q_eigenform(10)