Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 417450.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
417450.h1 | 417450h1 | \([1, 1, 0, -17896083075, 1042386147682125]\) | \(-915970586489983193158705/148238892409964961792\) | \(-102583687686207006905155200000000\) | \([]\) | \(2044224000\) | \(4.8701\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 417450.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 417450.h do not have complex multiplication.Modular form 417450.2.a.h
sage: E.q_eigenform(10)