Show commands:
SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 14157.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14157.u1 | 14157n1 | \([0, 0, 1, -1098075, -707054153]\) | \(-7744000000/6940323\) | \(-131230282194413783667\) | \([]\) | \(675840\) | \(2.5573\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14157.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14157.u do not have complex multiplication.Modular form 14157.2.a.u
sage: E.q_eigenform(10)