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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 331056.cy
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 331056.cy1 | 331056cy1 | \([0, 0, 0, -6435, -203742]\) | \(-81563625/2432\) | \(-878691483648\) | \([]\) | \(508032\) | \(1.0701\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331056.cy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331056.cy do not have complex multiplication.Modular form 331056.2.a.cy
sage: E.q_eigenform(10)