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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 19404l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 19404.s1 | 19404l1 | \([0, 0, 0, -207417, -41375747]\) | \(-719152519936/122762871\) | \(-168462323975894256\) | \([]\) | \(119808\) | \(2.0319\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19404l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19404l do not have complex multiplication.Modular form 19404.2.a.l
sage: E.q_eigenform(10)