Show commands:
SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 426888p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.p1 | 426888p1 | \([0, 0, 0, -138329499, -630680708581]\) | \(-263757056/2187\) | \(-2427240559188581647234416\) | \([]\) | \(92725248\) | \(3.5056\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 426888p do not have complex multiplication.Modular form 426888.2.a.p
sage: E.q_eigenform(10)