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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 379050.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.w1 | 379050w1 | \([1, 1, 0, -5717525, 12140710125]\) | \(-28119423707929/70383600000\) | \(-51738413592993750000000\) | \([]\) | \(43545600\) | \(3.0463\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379050.w do not have complex multiplication.Modular form 379050.2.a.w
sage: E.q_eigenform(10)