Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 122694.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122694.q1 | 122694p1 | \([1, 1, 0, -71997, 285388173]\) | \(-169/144\) | \(-35168360785704905616\) | \([]\) | \(3494400\) | \(2.4296\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122694.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 122694.q do not have complex multiplication.Modular form 122694.2.a.q
sage: E.q_eigenform(10)