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The database currently contains 647,334 elliptic curves in 312,864 isogeny classes, over 396 number fields (not including $\mathbb{Q}$) of degree up to 6.

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Browse elliptic curves by degree of base number field: 2, 3, 4, 5, 6

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e.g. 2.2.5.1-31.1-a1

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base number field e.g. 2.2.5.1 or Qsqrt5 base change curves Q_curves
conductor norm e.g. 31 or 1-100 isogenous curves CM curves
j-invariant e.g. 105474/49 + a*34213/49 over 2.0.7.1      
torsion order e.g. 2 torsion structure  
  isogeny degree e.g. 16
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