Show commands:
SageMath
E = EllipticCurve("cv1")
E.isogeny_class()
Elliptic curves in class 28224.cv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28224.cv1 | 28224ek1 | \([0, 0, 0, -1470, -21854]\) | \(-3136000/27\) | \(-3024568512\) | \([]\) | \(13824\) | \(0.64416\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224.cv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28224.cv do not have complex multiplication.Modular form 28224.2.a.cv
sage: E.q_eigenform(10)