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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 331240w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331240.w1 | 331240w1 | \([0, -1, 0, -1004761, -388061155]\) | \(-2249728/5\) | \(-249317316416080640\) | \([]\) | \(4741632\) | \(2.2209\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331240w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331240w do not have complex multiplication.Modular form 331240.2.a.w
sage: E.q_eigenform(10)