Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 286110k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286110.k1 | 286110k1 | \([1, -1, 0, -8534445, -9673135579]\) | \(-12085384087493155107/115343360000000\) | \(-656117669560320000000\) | \([]\) | \(18942336\) | \(2.8153\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286110k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 286110k do not have complex multiplication.Modular form 286110.2.a.k
sage: E.q_eigenform(10)