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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 107184cr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
107184.ce1 | 107184cr1 | \([0, 1, 0, 0, 756]\) | \(-1/60291\) | \(-246951936\) | \([]\) | \(27648\) | \(0.28927\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 107184cr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 107184cr do not have complex multiplication.Modular form 107184.2.a.cr
sage: E.q_eigenform(10)