Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 11858g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11858.f1 | 11858g1 | \([1, 1, 0, -150042, -22420460]\) | \(3233229419/2048\) | \(236624766687232\) | \([]\) | \(104544\) | \(1.6994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11858g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11858g do not have complex multiplication.Modular form 11858.2.a.g
sage: E.q_eigenform(10)