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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 9702c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 9702.w1 | 9702c1 | \([1, -1, 0, 579, 107225]\) | \(189/44\) | \(-4992617435652\) | \([]\) | \(20160\) | \(1.1158\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9702c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9702c do not have complex multiplication.Modular form 9702.2.a.c
sage: E.q_eigenform(10)