Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 51800.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51800.a1 | 51800y1 | \([0, 1, 0, -14208, -716912]\) | \(-793036420/88837\) | \(-35534800000000\) | \([]\) | \(122880\) | \(1.3373\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51800.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51800.a do not have complex multiplication.Modular form 51800.2.a.a
sage: E.q_eigenform(10)