Show commands:
SageMath
E = EllipticCurve("dr1")
E.isogeny_class()
Elliptic curves in class 205350dr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
205350.w1 | 205350dr1 | \([1, 1, 0, -1610475200, 24849181344000]\) | \(336675884385865/408146688\) | \(560002678041369048300000000\) | \([]\) | \(166233600\) | \(4.0429\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 205350dr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 205350dr do not have complex multiplication.Modular form 205350.2.a.dr
sage: E.q_eigenform(10)