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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 129285.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129285.w1 | 129285bh1 | \([0, 0, 1, -19324812, -33372464603]\) | \(-103240915222528/2490234375\) | \(-19251205184998388671875\) | \([]\) | \(8456448\) | \(3.0617\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129285.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 129285.w do not have complex multiplication.Modular form 129285.2.a.w
sage: E.q_eigenform(10)