Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 260100a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
260100.a1 | 260100a1 | \([0, 0, 0, -11075925, -104159898875]\) | \(-34158804736/1045659375\) | \(-4599930826078446093750000\) | \([]\) | \(59719680\) | \(3.4127\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 260100a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 260100a do not have complex multiplication.Modular form 260100.2.a.a
sage: E.q_eigenform(10)