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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 19404j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19404.i1 | 19404j1 | \([0, 0, 0, -19551, 1358966]\) | \(-768208/297\) | \(-319527515881728\) | \([]\) | \(48384\) | \(1.4925\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19404j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19404j do not have complex multiplication.Modular form 19404.2.a.j
sage: E.q_eigenform(10)