Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 14157q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14157.o1 | 14157q1 | \([0, 0, 1, -1452, -77531]\) | \(-262144/1859\) | \(-2400838954371\) | \([]\) | \(14400\) | \(1.0588\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14157q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14157q do not have complex multiplication.Modular form 14157.2.a.q
sage: E.q_eigenform(10)