Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 46090c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46090.a1 | 46090c1 | \([1, 0, 1, -28, 48]\) | \(2305199161/230450\) | \(230450\) | \([]\) | \(8512\) | \(-0.23466\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46090c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 46090c do not have complex multiplication.Modular form 46090.2.a.c
sage: E.q_eigenform(10)