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SageMath
E = EllipticCurve("fw1")
E.isogeny_class()
Elliptic curves in class 296450.fw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 296450.fw1 | 296450fw1 | \([1, -1, 1, -26634180, 57207033447]\) | \(-1026590625/100352\) | \(-204253932487220000000000\) | \([]\) | \(75398400\) | \(3.2137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296450.fw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 296450.fw do not have complex multiplication.Modular form 296450.2.a.fw
sage: E.q_eigenform(10)