Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 418950k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
418950.k1 | 418950k1 | \([1, -1, 0, -373532742, 2778806436916]\) | \(-172041783999846385/1179967488\) | \(-39531732168700800000000\) | \([]\) | \(100638720\) | \(3.5166\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 418950k do not have complex multiplication.Modular form 418950.2.a.k
sage: E.q_eigenform(10)