Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 505691.b
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
505691.b1 | \([1, 0, 0, -182, -961]\) | \(-666940371553/505691\) | \(-505691\) | \([]\) | \(82112\) | \(0.027104\) |
Rank
sage: E.rank()
The elliptic curve 505691.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 505691.b do not have complex multiplication.Modular form 505691.2.a.b
sage: E.q_eigenform(10)