Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 422331.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.c1 | 422331c1 | \([0, -1, 1, -118694, 15763880]\) | \(15957372928/17901\) | \(207457703689509\) | \([]\) | \(2838528\) | \(1.6612\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 422331.c do not have complex multiplication.Modular form 422331.2.a.c
sage: E.q_eigenform(10)