Show commands:
SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 271440.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271440.o1 | 271440o1 | \([0, 0, 0, 2757, 42858]\) | \(20956092093/19302400\) | \(-2134691020800\) | \([]\) | \(371712\) | \(1.0530\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271440.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 271440.o do not have complex multiplication.Modular form 271440.2.a.o
sage: E.q_eigenform(10)