Show commands:
SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 147294.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147294.bc1 | 147294co1 | \([1, -1, 0, -303, -8317]\) | \(-35937/334\) | \(-28645884414\) | \([]\) | \(96768\) | \(0.68895\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147294.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 147294.bc do not have complex multiplication.Modular form 147294.2.a.bc
sage: E.q_eigenform(10)