Show commands:
SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 67760ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67760.u1 | 67760ci1 | \([0, -1, 0, -77149640, 260914735600]\) | \(-57839429434456681/16470860000\) | \(-14461645286226575360000\) | \([]\) | \(7096320\) | \(3.2328\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67760ci1 has rank \(1\).
Complex multiplication
The elliptic curves in class 67760ci do not have complex multiplication.Modular form 67760.2.a.ci
sage: E.q_eigenform(10)