Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 49686h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
49686.i1 | 49686h1 | \([1, 1, 0, -239138, -620086956]\) | \(-6394640503489/698390001504\) | \(-165178762093706516064\) | \([]\) | \(2056320\) | \(2.5590\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 49686h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 49686h do not have complex multiplication.Modular form 49686.2.a.h
sage: E.q_eigenform(10)