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SageMath
E = EllipticCurve("fr1")
E.isogeny_class()
Elliptic curves in class 277200fr
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 277200.fr1 | 277200fr1 | \([0, 0, 0, -454800, 118438000]\) | \(-222985990144/841995\) | \(-39284118720000000\) | \([]\) | \(2580480\) | \(2.0435\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277200fr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 277200fr do not have complex multiplication.Modular form 277200.2.a.fr
sage: E.q_eigenform(10)