Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 55473s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55473.h1 | 55473s1 | \([0, 1, 1, -1913, 31577]\) | \(-460816384000/29403\) | \(-49426443\) | \([]\) | \(33600\) | \(0.53430\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55473s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 55473s do not have complex multiplication.Modular form 55473.2.a.s
sage: E.q_eigenform(10)