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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 5544w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 5544.q1 | 5544w1 | \([0, 0, 0, -507, -12413]\) | \(-1235663104/4991679\) | \(-58222943856\) | \([]\) | \(3840\) | \(0.75093\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5544w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5544w do not have complex multiplication.Modular form 5544.2.a.w
sage: E.q_eigenform(10)