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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 108900.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
108900.z1 | 108900dp1 | \([0, 0, 0, -499125, 228765625]\) | \(-2816/3\) | \(-14650089773343750000\) | \([]\) | \(1774080\) | \(2.3726\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 108900.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 108900.z do not have complex multiplication.Modular form 108900.2.a.z
sage: E.q_eigenform(10)