Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 1840.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1840.g1 | 1840d1 | \([0, 1, 0, 0, 23]\) | \(-256/14375\) | \(-230000\) | \([]\) | \(128\) | \(-0.29229\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1840.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1840.g do not have complex multiplication.Modular form 1840.2.a.g
sage: E.q_eigenform(10)