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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 94640w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94640.cm1 | 94640w1 | \([0, 1, 0, -3957360, -3181060492]\) | \(-693346671296498/40610171875\) | \(-401443928264288000000\) | \([]\) | \(4193280\) | \(2.7095\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94640w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 94640w do not have complex multiplication.Modular form 94640.2.a.w
sage: E.q_eigenform(10)