Show commands:
SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 14700bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14700.bb1 | 14700bb1 | \([0, 1, 0, -594533, -177560937]\) | \(-1007878144/6075\) | \(-140084664300000000\) | \([]\) | \(241920\) | \(2.1297\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14700bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14700bb do not have complex multiplication.Modular form 14700.2.a.bb
sage: E.q_eigenform(10)