Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 874b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
874.a1 | 874b1 | \([1, -1, 0, -13189, 575701]\) | \(253733516886870441/5293446529024\) | \(5293446529024\) | \([]\) | \(3600\) | \(1.2314\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 874b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 874b do not have complex multiplication.Modular form 874.2.a.b
sage: E.q_eigenform(10)