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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 389376w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
389376.w1 | 389376w1 | \([0, 0, 0, -179478, -29422224]\) | \(-354894912/2197\) | \(-3958108181973504\) | \([]\) | \(2709504\) | \(1.8314\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 389376w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 389376w do not have complex multiplication.Modular form 389376.2.a.w
sage: E.q_eigenform(10)