Show commands:
SageMath
E = EllipticCurve("dc1")
E.isogeny_class()
Elliptic curves in class 190608dc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190608.t1 | 190608dc1 | \([0, -1, 0, 11432, 11454784]\) | \(9500/3267\) | \(-56816947665865728\) | \([]\) | \(919296\) | \(1.8940\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190608dc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190608dc do not have complex multiplication.Modular form 190608.2.a.dc
sage: E.q_eigenform(10)