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SageMath
E = EllipticCurve("cx1")
E.isogeny_class()
Elliptic curves in class 137904cx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 137904.k1 | 137904cx1 | \([0, -1, 0, -719151, 241117902]\) | \(-3151503407104/96702579\) | \(-1262132231843671344\) | \([]\) | \(2021760\) | \(2.2505\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 137904cx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 137904cx do not have complex multiplication.Modular form 137904.2.a.cx
sage: E.q_eigenform(10)