Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 4598.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4598.c1 | 4598j1 | \([1, 1, 0, -32914, -3211468]\) | \(-18396908233/9961472\) | \(-2135329991032832\) | \([]\) | \(20064\) | \(1.6452\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4598.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4598.c do not have complex multiplication.Modular form 4598.2.a.c
sage: E.q_eigenform(10)