Show commands:
SageMath
E = EllipticCurve("ds1")
E.isogeny_class()
Elliptic curves in class 414050.ds
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
414050.ds1 | 414050ds1 | \([1, -1, 0, -1487992, -754965184]\) | \(-1026590625/100352\) | \(-35616759488011520000\) | \([]\) | \(24330240\) | \(2.4925\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 414050.ds1 has rank \(1\).
Complex multiplication
The elliptic curves in class 414050.ds do not have complex multiplication.Modular form 414050.2.a.ds
sage: E.q_eigenform(10)