Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 277200.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277200.h1 | 277200h1 | \([0, 0, 0, -18000, 2350000]\) | \(-2985984/9317\) | \(-2012472000000000\) | \([]\) | \(1228800\) | \(1.6231\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277200.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277200.h do not have complex multiplication.Modular form 277200.2.a.h
sage: E.q_eigenform(10)