Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 5824.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5824.d1 | 5824bc1 | \([0, 1, 0, -21, -77]\) | \(-65536/91\) | \(-1490944\) | \([]\) | \(768\) | \(-0.12303\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5824.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5824.d do not have complex multiplication.Modular form 5824.2.a.d
sage: E.q_eigenform(10)