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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 417450.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
417450.v1 | 417450v1 | \([1, 1, 0, 16575, 107925]\) | \(454786175/267168\) | \(-295815255780000\) | \([]\) | \(1497600\) | \(1.4661\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 417450.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 417450.v do not have complex multiplication.Modular form 417450.2.a.v
sage: E.q_eigenform(10)