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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 188760co
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
188760.i1 | 188760co1 | \([0, -1, 0, 186784, -14995539]\) | \(210125586176/149689215\) | \(-513395402002694640\) | \([]\) | \(2137344\) | \(2.0868\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188760co1 has rank \(1\).
Complex multiplication
The elliptic curves in class 188760co do not have complex multiplication.Modular form 188760.2.a.co
sage: E.q_eigenform(10)