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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 311696ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
311696.ci1 | 311696ci1 | \([0, 1, 0, 202, -8461]\) | \(32000/1127\) | \(-31944787952\) | \([]\) | \(134400\) | \(0.69554\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311696ci1 has rank \(1\).
Complex multiplication
The elliptic curves in class 311696ci do not have complex multiplication.Modular form 311696.2.a.ci
sage: E.q_eigenform(10)