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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 79350.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.ci1 | 79350cf1 | \([1, 1, 1, -3643763, 8635212281]\) | \(-13225/72\) | \(-29128015697096953125000\) | \([]\) | \(5564160\) | \(2.9946\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350.ci1 has rank \(1\).
Complex multiplication
The elliptic curves in class 79350.ci do not have complex multiplication.Modular form 79350.2.a.ci
sage: E.q_eigenform(10)