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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 119952.cy
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 119952.cy1 | 119952cc1 | \([0, 0, 0, -213003, 31947706]\) | \(1676381427/278528\) | \(177572984049893376\) | \([]\) | \(903168\) | \(2.0312\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952.cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 119952.cy do not have complex multiplication.Modular form 119952.2.a.cy
sage: E.q_eigenform(10)