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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 319725.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
319725.w1 | 319725w1 | \([1, -1, 1, 295, -6128]\) | \(4725/29\) | \(-17480964375\) | \([]\) | \(171072\) | \(0.64723\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 319725.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 319725.w do not have complex multiplication.Modular form 319725.2.a.w
sage: E.q_eigenform(10)