Show commands:
SageMath
E = EllipticCurve("hs1")
E.isogeny_class()
Elliptic curves in class 224400hs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
224400.bb1 | 224400hs1 | \([0, -1, 0, -55833, -5067963]\) | \(-7699532800/15147\) | \(-37867500000000\) | \([]\) | \(1036800\) | \(1.4937\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400hs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 224400hs do not have complex multiplication.Modular form 224400.2.a.hs
sage: E.q_eigenform(10)