Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 35739.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35739.h1 | 35739t1 | \([0, 0, 1, -4332, -248639]\) | \(-262144/627\) | \(-21503872425123\) | \([]\) | \(80640\) | \(1.2464\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35739.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35739.h do not have complex multiplication.Modular form 35739.2.a.h
sage: E.q_eigenform(10)