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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 23232w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23232.g1 | 23232w1 | \([0, -1, 0, 165488, 107795866]\) | \(36534162368/387420489\) | \(-5315009439904819776\) | \([]\) | \(380160\) | \(2.2741\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23232w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23232w do not have complex multiplication.Modular form 23232.2.a.w
sage: E.q_eigenform(10)