Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 19404n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19404.m1 | 19404n1 | \([0, 0, 0, 6027, 9831409]\) | \(17643776/30438639\) | \(-41769663928789104\) | \([]\) | \(138240\) | \(1.8682\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19404n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19404n do not have complex multiplication.Modular form 19404.2.a.n
sage: E.q_eigenform(10)