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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 37485.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37485.z1 | 37485bp1 | \([0, 0, 1, -15582, 1106775]\) | \(-4878401536/3346875\) | \(-287048486221875\) | \([]\) | \(92160\) | \(1.4746\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37485.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 37485.z do not have complex multiplication.Modular form 37485.2.a.z
sage: E.q_eigenform(10)