Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 216.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
216.b1 | 216b1 | \([0, 0, 0, -3, -34]\) | \(-6\) | \(-497664\) | \([]\) | \(24\) | \(-0.22751\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 216.b do not have complex multiplication.Modular form 216.2.a.b
sage: E.q_eigenform(10)