Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 38962.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38962.a1 | 38962r1 | \([1, -1, 0, -6496, -200480]\) | \(-17113674033/56672\) | \(-100397904992\) | \([]\) | \(86400\) | \(0.97614\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38962.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38962.a do not have complex multiplication.Modular form 38962.2.a.a
sage: E.q_eigenform(10)