Show commands:
SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 13950.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13950.bt1 | 13950cl1 | \([1, -1, 1, -5186480, -4568634853]\) | \(-1354547383894636849/8173828125000\) | \(-93105010986328125000\) | \([]\) | \(898560\) | \(2.6712\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13950.bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13950.bt do not have complex multiplication.Modular form 13950.2.a.bt
sage: E.q_eigenform(10)