Show commands:
SageMath
E = EllipticCurve("gb1")
E.isogeny_class()
Elliptic curves in class 346800gb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
346800.gb1 | 346800gb1 | \([0, 1, 0, -67433, -8083437]\) | \(-8780800/2187\) | \(-8446218144480000\) | \([]\) | \(3440640\) | \(1.7740\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346800gb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 346800gb do not have complex multiplication.Modular form 346800.2.a.gb
sage: E.q_eigenform(10)