Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 500921.b
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
500921.b1 | \([1, -1, 0, -68, -197]\) | \(35062107417/500921\) | \(500921\) | \([]\) | \(55576\) | \(-0.10195\) |
Rank
sage: E.rank()
The elliptic curve 500921.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 500921.b do not have complex multiplication.Modular form 500921.2.a.b
sage: E.q_eigenform(10)