Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 155526.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155526.d1 | 155526cu1 | \([1, 1, 0, -24240619, 45894377341]\) | \(25311095642246736793/20804234379264\) | \(1294779008987110047744\) | \([]\) | \(17031168\) | \(2.9798\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155526.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155526.d do not have complex multiplication.Modular form 155526.2.a.d
sage: E.q_eigenform(10)