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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 309168.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.z1 | 309168z1 | \([0, 0, 0, -1125435, -365466998]\) | \(105591141062347250/22458378326841\) | \(33530179174946998272\) | \([]\) | \(8644608\) | \(2.4610\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309168.z do not have complex multiplication.Modular form 309168.2.a.z
sage: E.q_eigenform(10)