Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 134310.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134310.o1 | 134310ce1 | \([1, 1, 0, -104667, 12990069]\) | \(-71581931663761/199800\) | \(-353957887800\) | \([]\) | \(617760\) | \(1.4483\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134310.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134310.o do not have complex multiplication.Modular form 134310.2.a.o
sage: E.q_eigenform(10)