Show commands:
SageMath
E = EllipticCurve("hd1")
E.isogeny_class()
Elliptic curves in class 176400.hd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.hd1 | 176400z1 | \([0, 0, 0, -643125, -199583125]\) | \(-160000\) | \(-183861121893750000\) | \([]\) | \(1935360\) | \(2.1508\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.hd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400.hd do not have complex multiplication.Modular form 176400.2.a.hd
sage: E.q_eigenform(10)