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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 116610p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116610.u1 | 116610p1 | \([1, 1, 0, 39283, -2362329]\) | \(39667394382128591/37419228281250\) | \(-6323849579531250\) | \([]\) | \(1233792\) | \(1.7191\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116610p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116610p do not have complex multiplication.Modular form 116610.2.a.p
sage: E.q_eigenform(10)