Show commands:
SageMath
E = EllipticCurve("ec1")
E.isogeny_class()
Elliptic curves in class 136710.ec
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
136710.ec1 | 136710bn1 | \([1, -1, 1, -89753, -11667463]\) | \(-932288503609/148800000\) | \(-12761998804800000\) | \([]\) | \(950400\) | \(1.8185\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 136710.ec1 has rank \(0\).
Complex multiplication
The elliptic curves in class 136710.ec do not have complex multiplication.Modular form 136710.2.a.ec
sage: E.q_eigenform(10)