Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 131043.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
131043.d1 | 131043c1 | \([0, 1, 1, 1324, -3052]\) | \(45056/27\) | \(-153698893227\) | \([]\) | \(253368\) | \(0.83581\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 131043.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 131043.d do not have complex multiplication.Modular form 131043.2.a.d
sage: E.q_eigenform(10)