Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 180708k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
180708.i1 | 180708k1 | \([0, -1, 0, 135075, 38548809]\) | \(303104/891\) | \(-801182513521564416\) | \([]\) | \(2685312\) | \(2.1188\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 180708k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 180708k do not have complex multiplication.Modular form 180708.2.a.k
sage: E.q_eigenform(10)