Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 6045.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6045.b1 | 6045d1 | \([0, -1, 1, 10, 68]\) | \(99897344/2266875\) | \(-2266875\) | \([]\) | \(1600\) | \(-0.10025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6045.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6045.b do not have complex multiplication.Modular form 6045.2.a.b
sage: E.q_eigenform(10)