Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 2760.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2760.j1 | 2760k1 | \([0, 1, 0, 7615, 1127283]\) | \(190737654201344/2245153696875\) | \(-574759346400000\) | \([]\) | \(9600\) | \(1.5130\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2760.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2760.j do not have complex multiplication.Modular form 2760.2.a.j
sage: E.q_eigenform(10)