Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 804.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
804.d1 | 804d1 | \([0, 1, 0, 84, 36]\) | \(253012016/146529\) | \(-37511424\) | \([]\) | \(168\) | \(0.14281\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 804.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 804.d do not have complex multiplication.Modular form 804.2.a.d
sage: E.q_eigenform(10)