Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 14157.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14157.i1 | 14157i1 | \([0, 0, 1, -3547236, 2571480535]\) | \(-462482914449031168/3326427\) | \(-35503916708403\) | \([]\) | \(248832\) | \(2.1969\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14157.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14157.i do not have complex multiplication.Modular form 14157.2.a.i
sage: E.q_eigenform(10)