Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 102850.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102850.i1 | 102850bp1 | \([1, 0, 1, -13810701, 26055299048]\) | \(-420973434058945/180217357408\) | \(-124713297619950737500000\) | \([]\) | \(11088000\) | \(3.1393\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102850.i do not have complex multiplication.Modular form 102850.2.a.i
sage: E.q_eigenform(10)