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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 142956.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142956.q1 | 142956l1 | \([0, 0, 0, -17328, -9026444]\) | \(-65536/3971\) | \(-34864945158599424\) | \([]\) | \(518400\) | \(1.8540\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142956.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 142956.q do not have complex multiplication.Modular form 142956.2.a.q
sage: E.q_eigenform(10)