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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 19404k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19404.r1 | 19404k1 | \([0, 0, 0, -41160, 3351796]\) | \(-7168000/363\) | \(-390533630522112\) | \([]\) | \(56448\) | \(1.5605\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19404k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19404k do not have complex multiplication.Modular form 19404.2.a.k
sage: E.q_eigenform(10)