Show commands:
SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 2646.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2646.bb1 | 2646ba1 | \([1, -1, 1, -393014, 96173893]\) | \(-134162931/2048\) | \(-102481188730066944\) | \([]\) | \(41580\) | \(2.0666\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2646.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2646.bb do not have complex multiplication.Modular form 2646.2.a.bb
sage: E.q_eigenform(10)