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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 361722.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
361722.q1 | 361722q1 | \([1, 1, 1, -1178131, -493393783]\) | \(-3843995587427449/6390046584\) | \(-300625371175320504\) | \([]\) | \(6967296\) | \(2.2496\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 361722.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 361722.q do not have complex multiplication.Modular form 361722.2.a.q
sage: E.q_eigenform(10)