Show commands:
SageMath
E = EllipticCurve("or1")
E.isogeny_class()
Elliptic curves in class 342720.or
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
342720.or1 | 342720or1 | \([0, 0, 0, -1272, 25814]\) | \(-4878401536/3346875\) | \(-156151800000\) | \([]\) | \(276480\) | \(0.84821\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 342720.or1 has rank \(1\).
Complex multiplication
The elliptic curves in class 342720.or do not have complex multiplication.Modular form 342720.2.a.or
sage: E.q_eigenform(10)