Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 279174.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
279174.k1 | 279174k1 | \([1, 1, 0, 72678, 2679828]\) | \(1758853833911/1143496704\) | \(-27601230594072576\) | \([]\) | \(2036736\) | \(1.8436\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 279174.k do not have complex multiplication.Modular form 279174.2.a.k
sage: E.q_eigenform(10)