Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 430950.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
430950.c1 | 430950c1 | \([1, 1, 0, 94975, -3598543125]\) | \(7433231/438918750\) | \(-5594367318717480468750\) | \([]\) | \(32947200\) | \(2.8519\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 430950.c do not have complex multiplication.Modular form 430950.2.a.c
sage: E.q_eigenform(10)