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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 25200.cy
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 25200.cy1 | 25200cd1 | \([0, 0, 0, -304275, -64641575]\) | \(-427361108435200/301327047\) | \(-2196674172630000\) | \([]\) | \(172032\) | \(1.8799\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25200.cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25200.cy do not have complex multiplication.Modular form 25200.2.a.cy
sage: E.q_eigenform(10)