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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 344760q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.q1 | 344760q1 | \([0, -1, 0, -56, -6735]\) | \(-256/255\) | \(-19693380720\) | \([]\) | \(207360\) | \(0.65431\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 344760q do not have complex multiplication.Modular form 344760.2.a.q
sage: E.q_eigenform(10)