Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 24301.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24301.a1 | 24301a1 | \([1, 0, 0, -44, 109]\) | \(-9434056897/24301\) | \(-24301\) | \([]\) | \(3584\) | \(-0.28232\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24301.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 24301.a do not have complex multiplication.Modular form 24301.2.a.a
sage: E.q_eigenform(10)