Show commands:
SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 73920dl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
73920.ht1 | 73920dl1 | \([0, 1, 0, -525, 14805]\) | \(-250523582464/1369738755\) | \(-87663280320\) | \([]\) | \(57600\) | \(0.78379\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 73920dl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 73920dl do not have complex multiplication.Modular form 73920.2.a.dl
sage: E.q_eigenform(10)