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SageMath
E = EllipticCurve("cv1")
E.isogeny_class()
Elliptic curves in class 121275cv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.r1 | 121275cv1 | \([0, 0, 1, -942486825, 11028516076156]\) | \(1409995418369929216/15792626953125\) | \(1037017896161084747314453125\) | \([]\) | \(85155840\) | \(3.9978\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275cv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121275cv do not have complex multiplication.Modular form 121275.2.a.cv
sage: E.q_eigenform(10)