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SageMath
sage: E = EllipticCurve("kr1")
sage: E.isogeny_class()
Elliptic curves in class 176400kr
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 176400.ri1 | 176400kr1 | [0, 0, 0, 31605, -6204870] | [] | 1437696 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400kr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400kr do not have complex multiplication.Modular form 176400.2.a.kr
sage: E.q_eigenform(10)