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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 14157.l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 14157.l1 | 14157s1 | \([0, 0, 1, -429215556, -3422640592418]\) | \(-462482914449031168/3326427\) | \(-62897354187855127083\) | \([]\) | \(2737152\) | \(3.3958\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14157.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14157.l do not have complex multiplication.Modular form 14157.2.a.l
sage: E.q_eigenform(10)