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SageMath
E = EllipticCurve("gv1")
E.isogeny_class()
Elliptic curves in class 95550gv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95550.ii1 | 95550gv1 | \([1, 1, 1, -166188, -160271469]\) | \(-662989657192009/14097531093750\) | \(-10793422243652343750\) | \([]\) | \(3225600\) | \(2.3330\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95550gv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 95550gv do not have complex multiplication.Modular form 95550.2.a.gv
sage: E.q_eigenform(10)