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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 85800ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85800.m1 | 85800ci1 | \([0, -1, 0, 101859792, -123502865463]\) | \(18700449490920637280000/11875724217287331687\) | \(-74223276358045823043750000\) | \([]\) | \(21772800\) | \(3.6531\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85800ci1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85800ci do not have complex multiplication.Modular form 85800.2.a.ci
sage: E.q_eigenform(10)