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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 175175v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
175175.v1 | 175175v1 | \([0, -1, 1, -19454633, -33141442832]\) | \(-442980486619070464/1864582578859\) | \(-3427598059690351421875\) | \([]\) | \(11289600\) | \(2.9869\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 175175v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 175175v do not have complex multiplication.Modular form 175175.2.a.v
sage: E.q_eigenform(10)