Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 8008.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8008.e1 | 8008d1 | \([0, 0, 0, 32348, -4190188]\) | \(14622648823378944/38090758396691\) | \(-9751234149552896\) | \([]\) | \(59520\) | \(1.7517\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8008.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8008.e do not have complex multiplication.Modular form 8008.2.a.e
sage: E.q_eigenform(10)