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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 121275ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.v1 | 121275ch1 | \([0, 0, 1, -112875, -14596094]\) | \(61549867008/1331\) | \(3439283203125\) | \([]\) | \(783360\) | \(1.5220\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275ch1 has rank \(2\).
Complex multiplication
The elliptic curves in class 121275ch do not have complex multiplication.Modular form 121275.2.a.ch
sage: E.q_eigenform(10)