Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 2088.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2088.d1 | 2088d1 | \([0, 0, 0, -723, 7486]\) | \(-55990084/29\) | \(-21648384\) | \([]\) | \(480\) | \(0.35858\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2088.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2088.d do not have complex multiplication.Modular form 2088.2.a.d
sage: E.q_eigenform(10)