Show commands:
SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 84966.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84966.l1 | 84966a1 | \([1, 1, 0, 122, 526]\) | \(16807/18\) | \(-212330034\) | \([]\) | \(39936\) | \(0.28445\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84966.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84966.l do not have complex multiplication.Modular form 84966.2.a.l
sage: E.q_eigenform(10)