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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 47432p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47432.k1 | 47432p1 | \([0, -1, 0, -1092912, -358741172]\) | \(6902546/1331\) | \(27838667175986157568\) | \([]\) | \(967680\) | \(2.4482\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47432p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47432p do not have complex multiplication.Modular form 47432.2.a.p
sage: E.q_eigenform(10)