Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 11109.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11109.j1 | 11109k1 | \([0, 1, 1, -50960, 5150045]\) | \(-98867482624/20696067\) | \(-3063760677148563\) | \([]\) | \(158400\) | \(1.6933\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11109.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11109.j do not have complex multiplication.Modular form 11109.2.a.j
sage: E.q_eigenform(10)