Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 250173.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250173.k1 | 250173k1 | \([1, -1, 1, -9109181, 11340411994]\) | \(-13160971881/1127357\) | \(-7160365095635904347349\) | \([]\) | \(16780800\) | \(2.9382\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250173.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 250173.k do not have complex multiplication.Modular form 250173.2.a.k
sage: E.q_eigenform(10)