Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 271332.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271332.b1 | 271332b1 | \([0, 0, 0, -333, -2295]\) | \(350113536/7537\) | \(87911568\) | \([]\) | \(193872\) | \(0.31307\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271332.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 271332.b do not have complex multiplication.Modular form 271332.2.a.b
sage: E.q_eigenform(10)