Show commands:
SageMath
E = EllipticCurve("cg1")
E.isogeny_class()
Elliptic curves in class 112710.cg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112710.cg1 | 112710cf1 | \([1, 1, 1, -14617915, 21507229145]\) | \(-171352638803089/14236560\) | \(-28700818123376215440\) | \([]\) | \(6345216\) | \(2.7776\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710.cg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112710.cg do not have complex multiplication.Modular form 112710.2.a.cg
sage: E.q_eigenform(10)