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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 226350.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
226350.e1 | 226350bo1 | \([1, -1, 0, -342, -14684]\) | \(-389017/8048\) | \(-91671750000\) | \([]\) | \(184320\) | \(0.78435\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 226350.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 226350.e do not have complex multiplication.Modular form 226350.2.a.e
sage: E.q_eigenform(10)