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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 26640.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26640.e1 | 26640f1 | \([0, 0, 0, -1106643, -455803342]\) | \(-100389630395083682/2018931072975\) | \(-3014247940503091200\) | \([]\) | \(599040\) | \(2.3382\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26640.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26640.e do not have complex multiplication.Modular form 26640.2.a.e
sage: E.q_eigenform(10)