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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 238260.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
238260.z1 | 238260z1 | \([0, 1, 0, -796125, 435350223]\) | \(-4633471246336/4125174075\) | \(-49682546851004179200\) | \([]\) | \(5080320\) | \(2.4764\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 238260.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 238260.z do not have complex multiplication.Modular form 238260.2.a.z
sage: E.q_eigenform(10)