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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 5544v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 5544.r1 | 5544v1 | \([0, 0, 0, -2127, 37847]\) | \(-91238612224/251559\) | \(-2934184176\) | \([]\) | \(2304\) | \(0.68979\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5544v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5544v do not have complex multiplication.Modular form 5544.2.a.v
sage: E.q_eigenform(10)