Show commands:
SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 372810.ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.ct1 | 372810ct1 | \([1, 0, 0, -4630, -1108]\) | \(454756609/263160\) | \(6352042658040\) | \([]\) | \(1050624\) | \(1.1461\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.ct1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.ct do not have complex multiplication.Modular form 372810.2.a.ct
sage: E.q_eigenform(10)