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SageMath
E = EllipticCurve("fw1")
E.isogeny_class()
Elliptic curves in class 244800.fw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 244800.fw1 | 244800fw1 | \([0, 0, 0, 1200, -4000]\) | \(27648/17\) | \(-117504000000\) | \([]\) | \(143360\) | \(0.81330\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 244800.fw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 244800.fw do not have complex multiplication.Modular form 244800.2.a.fw
sage: E.q_eigenform(10)