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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 364560ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
364560.ci1 | 364560ci1 | \([0, -1, 0, -18072000, 29730212352]\) | \(-1354547383894636849/8173828125000\) | \(-3938888520000000000000\) | \([]\) | \(37065600\) | \(2.9833\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 364560ci1 has rank \(0\).
Complex multiplication
The elliptic curves in class 364560ci do not have complex multiplication.Modular form 364560.2.a.ci
sage: E.q_eigenform(10)