Show commands:
SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 112710.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112710.z1 | 112710bf1 | \([1, 0, 1, 221801, 72024122]\) | \(172991854871/421200000\) | \(-2938189034149200000\) | \([]\) | \(1713600\) | \(2.2276\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112710.z do not have complex multiplication.Modular form 112710.2.a.z
sage: E.q_eigenform(10)