Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 344760.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.b1 | 344760b1 | \([0, -1, 0, -77796, 8707581]\) | \(-674250071296/31416255\) | \(-2426244198084720\) | \([]\) | \(2257920\) | \(1.7154\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 344760.b do not have complex multiplication.Modular form 344760.2.a.b
sage: E.q_eigenform(10)