Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 309168h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 309168.h1 | 309168h1 | \([0, 0, 0, -939, -1861414]\) | \(-30664297/501264384\) | \(-1496767430393856\) | \([]\) | \(1216512\) | \(1.5907\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309168h do not have complex multiplication.Modular form 309168.2.a.h
sage: E.q_eigenform(10)