Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 444360.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 444360.h1 | 444360h1 | \([0, -1, 0, -12053441, -10285880859]\) | \(9660380529664/3308878125\) | \(66335105572735456800000\) | \([]\) | \(38154240\) | \(3.0810\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 444360.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 444360.h do not have complex multiplication.Modular form 444360.2.a.h
sage: E.q_eigenform(10)