Show commands:
SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 217800dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
217800.cy1 | 217800dh1 | \([0, 0, 0, -7260, -239580]\) | \(-138240\) | \(-306125740800\) | \([]\) | \(245760\) | \(1.0360\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 217800dh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 217800dh do not have complex multiplication.Modular form 217800.2.a.dh
sage: E.q_eigenform(10)