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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 14700.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 14700.x1 | 14700x1 | \([0, -1, 0, -12247958, -16494399963]\) | \(-805661175040/729\) | \(-183861121893750000\) | \([]\) | \(483840\) | \(2.6110\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14700.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14700.x do not have complex multiplication.Modular form 14700.2.a.x
sage: E.q_eigenform(10)