Show commands:
SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 145794r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145794.m1 | 145794r1 | \([1, 0, 1, 131389, -1576798]\) | \(23271176375/13568148\) | \(-146253988907740692\) | \([]\) | \(1413120\) | \(1.9831\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794r1 has rank \(2\).
Complex multiplication
The elliptic curves in class 145794r do not have complex multiplication.Modular form 145794.2.a.r
sage: E.q_eigenform(10)