Show commands:
SageMath
E = EllipticCurve("dr1")
E.isogeny_class()
Elliptic curves in class 336600dr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
336600.dr1 | 336600dr1 | \([0, 0, 0, -660540, 206632420]\) | \(-6831460729492480/30318123\) | \(-141452234668800\) | \([]\) | \(2506752\) | \(1.9207\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 336600dr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 336600dr do not have complex multiplication.Modular form 336600.2.a.dr
sage: E.q_eigenform(10)