Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 12844d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12844.g1 | 12844d1 | \([0, -1, 0, -3605, -82447]\) | \(-4194304/19\) | \(-23477598976\) | \([]\) | \(12960\) | \(0.84154\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12844d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12844d do not have complex multiplication.Modular form 12844.2.a.d
sage: E.q_eigenform(10)