Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 405600a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.a1 | 405600a1 | \([0, -1, 0, 78867, 58397637]\) | \(175616/4875\) | \(-1505964408000000000\) | \([]\) | \(7741440\) | \(2.1681\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405600a do not have complex multiplication.Modular form 405600.2.a.a
sage: E.q_eigenform(10)