Show commands:
SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 119025.ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119025.ct1 | 119025cq1 | \([0, 0, 1, -87285, 9961731]\) | \(-5451776/23\) | \(-310264718857875\) | \([]\) | \(709632\) | \(1.6353\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119025.ct1 has rank \(0\).
Complex multiplication
The elliptic curves in class 119025.ct do not have complex multiplication.Modular form 119025.2.a.ct
sage: E.q_eigenform(10)