Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 222180.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
222180.q1 | 222180o1 | \([0, 1, 0, -12868414501, -2288366760719785]\) | \(-6218589009063615570313216/56094690913037211867075\) | \(-2125831023997871449298892148396800\) | \([]\) | \(1166989824\) | \(5.0775\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 222180.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 222180.q do not have complex multiplication.Modular form 222180.2.a.q
sage: E.q_eigenform(10)