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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 187395.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187395.z1 | 187395bc1 | \([0, -1, 1, -63746, 9753251]\) | \(-32278933504/27421875\) | \(-24337015002421875\) | \([]\) | \(2570400\) | \(1.8418\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187395.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 187395.z do not have complex multiplication.Modular form 187395.2.a.z
sage: E.q_eigenform(10)