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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 14700q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 14700.k1 | 14700q1 | \([0, -1, 0, -4922458, -4215440963]\) | \(-17939139239680/66706983\) | \(-49050061518543750000\) | \([]\) | \(483840\) | \(2.6384\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14700q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14700q do not have complex multiplication.Modular form 14700.2.a.q
sage: E.q_eigenform(10)