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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 14157a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 14157.q1 | 14157a1 | \([0, 0, 1, -23958, 1555606]\) | \(-262766592/28561\) | \(-165302208006507\) | \([]\) | \(67584\) | \(1.4662\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14157a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14157a do not have complex multiplication.Modular form 14157.2.a.a
sage: E.q_eigenform(10)