Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 389205.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
389205.a1 | 389205a1 | \([0, 0, 1, -2883, 52134]\) | \(36864/5\) | \(359438990805\) | \([]\) | \(678960\) | \(0.94450\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 389205.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 389205.a do not have complex multiplication.Modular form 389205.2.a.a
sage: E.q_eigenform(10)