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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 259920.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259920.v1 | 259920v1 | \([0, 0, 0, 5002377, -2688223322]\) | \(569208099614384/457763671875\) | \(-11133282304687500000000\) | \([]\) | \(15482880\) | \(2.9182\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259920.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 259920.v do not have complex multiplication.Modular form 259920.2.a.v
sage: E.q_eigenform(10)