Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 1840.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1840.b1 | 1840a1 | \([0, -1, 0, 4, -5]\) | \(340736/575\) | \(-9200\) | \([]\) | \(64\) | \(-0.55442\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1840.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1840.b do not have complex multiplication.Modular form 1840.2.a.b
sage: E.q_eigenform(10)