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SageMath
E = EllipticCurve("kq1")
E.isogeny_class()
Elliptic curves in class 388080.kq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 388080.kq1 | 388080kq1 | \([0, 0, 0, 3843168, -1512970256]\) | \(17869652393984/13156171875\) | \(-4621737283289280000000\) | \([]\) | \(21676032\) | \(2.8454\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080.kq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388080.kq do not have complex multiplication.Modular form 388080.2.a.kq
sage: E.q_eigenform(10)