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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 116242.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116242.p1 | 116242p1 | \([1, 1, 1, 45298, 8991867]\) | \(31855013/126224\) | \(-40730931964456496\) | \([]\) | \(1459200\) | \(1.8699\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116242.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116242.p do not have complex multiplication.Modular form 116242.2.a.p
sage: E.q_eigenform(10)