Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 370881g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
370881.g1 | 370881g1 | \([0, 0, 1, -865389, 481084168]\) | \(-24113152/19683\) | \(-58505289474464173467\) | \([]\) | \(12428640\) | \(2.4911\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 370881g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 370881g do not have complex multiplication.Modular form 370881.2.a.g
sage: E.q_eigenform(10)