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SageMath
E = EllipticCurve("eu1")
E.isogeny_class()
Elliptic curves in class 226512.eu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 226512.eu1 | 226512co1 | \([0, 0, 0, -10659, -424798]\) | \(-370680937/1248\) | \(-450907471872\) | \([]\) | \(230400\) | \(1.1006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 226512.eu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 226512.eu do not have complex multiplication.Modular form 226512.2.a.eu
sage: E.q_eigenform(10)