Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 126350.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
126350.o1 | 126350u1 | \([1, 1, 0, -67875, 39358375]\) | \(-130321/2450\) | \(-650152022663281250\) | \([]\) | \(1707264\) | \(2.0990\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126350.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 126350.o do not have complex multiplication.Modular form 126350.2.a.o
sage: E.q_eigenform(10)