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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 124215.cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
124215.cy1 | 124215bh1 | \([0, -1, 1, -2569870, -2612269437]\) | \(-1376628736/1366875\) | \(-1863671287604384041875\) | \([]\) | \(10555776\) | \(2.7772\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124215.cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 124215.cy do not have complex multiplication.Modular form 124215.2.a.cy
sage: E.q_eigenform(10)