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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 121275cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.n1 | 121275cb1 | \([0, 0, 1, -496125, -340052344]\) | \(-2985984/9317\) | \(-42139139907498046875\) | \([]\) | \(4423680\) | \(2.4522\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275cb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121275cb do not have complex multiplication.Modular form 121275.2.a.cb
sage: E.q_eigenform(10)