Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 134310.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134310.q1 | 134310cg1 | \([1, 1, 0, -363002, -84523116]\) | \(-43718702537652926641/115033303388160\) | \(-13919029709967360\) | \([]\) | \(2211840\) | \(1.9729\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134310.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134310.q do not have complex multiplication.Modular form 134310.2.a.q
sage: E.q_eigenform(10)