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SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 188760.ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
188760.ct1 | 188760bv1 | \([0, 1, 0, -31500, 2146065]\) | \(-1007877376/2535\) | \(-8694396213360\) | \([]\) | \(549120\) | \(1.3600\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188760.ct1 has rank \(0\).
Complex multiplication
The elliptic curves in class 188760.ct do not have complex multiplication.Modular form 188760.2.a.ct
sage: E.q_eigenform(10)