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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 84966p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84966.p1 | 84966p1 | \([1, 1, 0, -3434337, -7380705177]\) | \(-4599141247/21489462\) | \(-20931552015106452245946\) | \([]\) | \(8128512\) | \(2.9676\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84966p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84966p do not have complex multiplication.Modular form 84966.2.a.p
sage: E.q_eigenform(10)