Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 14700a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 14700.s1 | 14700a1 | \([0, -1, 0, -1143333, 479469537]\) | \(-11468800/243\) | \(-3502116607500000000\) | \([]\) | \(264600\) | \(2.3487\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14700a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14700a do not have complex multiplication.Modular form 14700.2.a.a
sage: E.q_eigenform(10)