Show commands:
SageMath
E = EllipticCurve("ds1")
E.isogeny_class()
Elliptic curves in class 119952ds
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119952.u1 | 119952ds1 | \([0, 0, 0, -6391119, 6149426794]\) | \(26835062456272/345025251\) | \(371195492823231277824\) | \([]\) | \(5644800\) | \(2.7554\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952ds1 has rank \(1\).
Complex multiplication
The elliptic curves in class 119952ds do not have complex multiplication.Modular form 119952.2.a.ds
sage: E.q_eigenform(10)