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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 163254.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163254.q1 | 163254df1 | \([1, 1, 0, -192832, 32941888]\) | \(-972115190761/14930496\) | \(-12179264266967616\) | \([]\) | \(1857024\) | \(1.8889\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163254.q1 has rank \(2\).
Complex multiplication
The elliptic curves in class 163254.q do not have complex multiplication.Modular form 163254.2.a.q
sage: E.q_eigenform(10)