Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 222180w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
222180.d1 | 222180w1 | \([0, -1, 0, -22141, -2675159]\) | \(-385399857152/775018125\) | \(-2413989254880000\) | \([]\) | \(1064448\) | \(1.6410\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 222180w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 222180w do not have complex multiplication.Modular form 222180.2.a.w
sage: E.q_eigenform(10)